383483580480 has 2016 divisors, whose sum is σ = 1863806450688. Its totient is φ = 71066419200.

The previous prime is 383483580463. The next prime is 383483580559. The reversal of 383483580480 is 84085384383.

383483580480 is a `hidden beast` number, since 3 + 8 + 3 + 4 + 83 + 5 + 80 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 625584654 + ... + 625585266.

It is an arithmetic number, because the mean of its divisors is an integer number (924507168).

Almost surely, 2^383483580480 is an apocalyptic number.

383483580480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 383483580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931903225344).

383483580480 is an abundant number, since it is smaller than the sum of its proper divisors (1480322870208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

383483580480 is a wasteful number, since it uses less digits than its factorization.

383483580480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 383483580480 in words is "three hundred eighty-three billion, four hundred eighty-three million, five hundred eighty thousand, four hundred eighty".